کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583483 1333905 2009 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reversed Dickson polynomials over finite fields
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Reversed Dickson polynomials over finite fields
چکیده انگلیسی

Reversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a) over finite fields by reversing the roles of the indeterminate x and the parameter a. We study reversed Dickson polynomials with emphasis on their permutational properties over finite fields. We show that reversed Dickson permutation polynomials (RDPPs) are closely related to almost perfect nonlinear (APN) functions. We find several families of nontrivial RDPPs over finite fields; some of them arise from known APN functions and others are new. Among RDPPs on Fq with q<200, with only one exception, all belong to the RDPP families established in this paper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 15, Issue 6, December 2009, Pages 748-773